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@article{1646351,
author = {Jensen, Lasse S. and Kaufmann, Isabella and Larsen, Kim G. and Nielsen, Soeren M. and Srba, Jiří},
article_number = {June 2019},
doi = {http://dx.doi.org/10.1016/j.jlamp.2019.02.001},
keywords = {model checking; logic; synthesis},
language = {eng},
issn = {2352-2208},
journal = {Journal of Logical and Algebraic Methods in Programming},
title = {Model Checking and Synthesis for Branching Multi-Weighted Logics},
url = {https://doi.org/10.1016/j.jlamp.2019.02.001},
volume = {105},
year = {2019}
}
TY - JOUR
ID - 1646351
AU - Jensen, Lasse S. - Kaufmann, Isabella - Larsen, Kim G. - Nielsen, Soeren M. - Srba, Jiří
PY - 2019
TI - Model Checking and Synthesis for Branching Multi-Weighted Logics
JF - Journal of Logical and Algebraic Methods in Programming
VL - 105
IS - June 2019
SP - 28-46
EP - 28-46
SN - 23522208
KW - model checking
KW - logic
KW - synthesis
UR - https://doi.org/10.1016/j.jlamp.2019.02.001
L2 - https://doi.org/10.1016/j.jlamp.2019.02.001
N2 - We investigate the open synthesis problem in a quantitative game theoretic setting where the system model is annotated with multiple nonnegative weights representing quantitative resources such as energy, discrete time or cost. We consider system specifications expressed in the branching time logic CTL extended with bounds on resources. As our first contribution, we show that the model checking problem for the full logic is undecidable with already three weights. By restricting the bounds to constant upper or lower-bounds on the individual weights, we demonstrate that the problem becomes decidable and that the model checking problem is PSPACE-complete. As a second contribution, we show that by imposing upper-bounds on the temporal operators and assuming that the cost converges over infinite runs, the synthesis problem is also decidable. Finally, we provide an on-the-fly algorithm for the synthesis problem on an unrestricted model for a reachability fragment of the logic and we prove EXPTIME-completeness of the synthesis problem.
ER -
JENSEN, Lasse S., Isabella KAUFMANN, Kim G. LARSEN, Soeren M. NIELSEN a Jiří SRBA. Model Checking and Synthesis for Branching Multi-Weighted Logics. \textit{Journal of Logical and Algebraic Methods in Programming}. 2019, roč.~105, June 2019, s.~28-46. ISSN~2352-2208. Dostupné z: https://dx.doi.org/10.1016/j.jlamp.2019.02.001.
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